When you are on a quest you will be asked for a certain item, piece of information or group of items. Once you have what you were asked for, simply go back to the person that gave you the quest and give them what they want.

Faerie Quests - Just go back to the quests page with the item in your inventory. If it is in your Safety Deposit Box it won't work.

Brain Tree Quests - Go back to the Brain Tree and type in your answer.

Edna the Witch or Esophagor Quests - Go back to the Haunted Woods and click on Edna or the Esophagor. As long as you have the correct items in your inventory, they will take them from you. If the items are in your Safety Deposit Box you will have to take them out first.

Kitchen Quests - Return to the Island Kitchen with the items in your inventory.